@mathvisualproofs: This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) following essentially Bhāskara's proof (Behold!). This theorem states the square of the hypotenuse of a right triangle is equal to the sum of squares of the two other side lengths. Here is a bit longer version: https://youtu.be/I75HYC8TRNY If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! This animation is based on a proof due to Bhāskara. For a static version of this proof, see Roger Nelsen's first "Proof Without Words: Exercises in Visual Thinking" compendium (page 4). You can also check out Howard Eves' "Great Moments in Mathematics (Before 1650)" page 29-32. Check out Roger's book on Amazon (affiliate link to follow; I may receive a small commission): https://amzn.to/3SjsqEh For other proofs of this same fact check out: https://youtu.be/q28H5NY5UVU https://youtu.be/yfGtbNgcrQ8 https://youtu.be/JRjPsuJ7S-g https://youtu.be/TsKTteGJpZU https://youtu.be/ZlGaQdNRdqA https://youtu.be/uqGjs_n-f7U https://youtu.be/wWEZ-rUlBDQ #math #manim #pythagoreantheorem #pythagorean #triangle #animation #theorem #pww #proofwithoutwords #visualproof #proof #mathshorts #mathvideo To learn more about animating with manim, check out: https://manim.community

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Tuesday 10 September 2024 02:01:19 GMT